A castle has to be guarded 24 hours a day. 7 nights are ordered to split each day guard duty equally. How long will each night spend on guard duty in one day?

Answer:

x = 9

y = 5

Step-by-step explanation:

<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.

7x - 3 = 60 degrees     Add 3 to both sides

      3      3

7x = 63                         Divide by 7

x = 63/7

x = 9

Just for the sake of completeness, we'll find y

11y + 5 = 60                 Subtract 5 from both sides

     -5      -5

11y = 55                       Divide by 11

y = 55 /11

y = 5

Answer:

2y + 3 = 6

Step-by-step explanation:

2y + 3 = 6 Subtract 3 from both sides

2y = 3 Divide 2 from both sides

y = 3/2

Answer:

B. adjacent and D. supplementary

Pattern

Step-by-step explanation:

I know there's a pattern but there's a cutie watching this rn hey lol

Answer:

AC = 8.2 m

AD = 8.57 m

Step-by-step explanation:

The answers were rounded to the nearest hundredth, hope this helps!

Answer:

can I get a hiaaa

How was the government able to make children go to residential school?

Answer:

20 ft

Step-by-step explanation:

the 6 ft persons shadow was reduced by a factor of 4 for the flagpole shadow being 5 ft long just multiply by 4 to get 20 because 20/4=5

Answer:

104 ounces

Step-by-step explanation:

40+64= 104

.......

Answer:

98% C.I. = [-0.1270, 0.0994]

Step-by-step explanation:

Here

p1= proportion of men smokers

p1= 45/175= 0.2571

p2= proportion of women smokers

p2= 42/155= 0.2709

1)  Choose the significance level ∝= 0.02

2) The formula for confidence interval is

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

and

(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

3)  The z value is 2.05

4) Calculations:

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=-0.1270 ( using calculator)

And

(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=0.0994  ( using calculator)

and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)

Answer:

33 degress

hope i helped :)

Step-by-step explanation:

Answer:

Top left: > Top right: > Bottom left: < Bottom right: >

Step-by-step explanation:

Answer:

-0.25 > -0.3

9.999 > 9.975

3(5/8) < 30/8

10(2/3) < 61/6

Answer:

Step-by-step explanation:

12,359 lolll

Answer:

123470

easy question dude plz mark me as brainliest

Answer:

6 months

Step-by-step explanation:

615=95n+45

-45 from 615 =570

570=95n

divide both side by 95

Answer:

6 Months

Step-by-step explanation:

95 x 6 is 570. If you add the set up fee, it comes down to 615 dollars.

Hope this helps! Have a great rest of your day/night. :)

Answer:

125, 20

Step-by-step explanation:

Answer:

1.95

Step-by-step explanation:

X= 10

2×10squared(10-5)/ 10×10

2×100-5/10×10

200-5/10×10

195/10×10

195/100

1.95

Answer:

3x + 2 = 3

Step-by-step explanation:

3x + 2 = 3 Subtract 2 from both sides

3x = 1 Divide both sides by 3

x = 1/3

Answer:

The answer should be 75 if i did the math right

Answer:

Step-by-step explanation:

You have to add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

So in this case it would be:

46+56+64+64+72+76+77+82+94+96+99.

And the answer for the first step is: 826.

Next Step!

826 will have to be divided by 11.

Because there are 11 numbers that had to be added.

So 826÷11=75.

[tex]3x^2-5x=2[/tex]

Answer:

( o ,-1 ) y- intercept

( 2 , - 1 ) extra point

Step-by-step explanation:

ax2+bx+cy=ax2bx2

Answer:

0.2

Step-by-step explanation:

5/25 as a decimal is 0.2.

1/5=0.2

just reduce it to 1/5 and divide it into a decimal

Answer:

Hay 140 alumnos en dicha aula.

Step-by-step explanation:

Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:

1/5  → 21

4/5 →  x

x=(4/5*21)/1/5

x=(84/5)/(1/5)

x=84*5/5*1

x=420/5

x=84

Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:

84+21=105

Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:

3/4 → 105

1     →   x

x=(1*105)/(3/4)

x=(105/1)/(3/4)

x=105*4/1*3

x=420/3

x=140

De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.

Answer:

4cm because area is length times width

Step-by-step explanation:

Answer:

4 cm2

Step-by-step explanation:

[tex]area = side {}^{2} = (2cm) {}^{2} = 4cm {}^{2} [/tex]

Answer:

226.1946711 cubic ft

Step-by-step explanation:

volume of cylinder = πr²h

diameter (d)=6ft

r= d/2 = 6/2=3ft

h= 8ft

putting all values in the formula and calculating the volume

Answer:

11:00

Step-by-step explanation:

This is easier than I thought...

So 8:30+2 is 10:30

...and now we have 1/2 left.

1/2 in this case of time would be 30

So, 10+30+30 would be 10:60

Now all we have to do is simplify it

60 minutes= 1 hour

So...

10:60-60=10

10+1=11

11 AM is the correct answer!

Hope this helps! :D

Answer:

B

Step-by-step explanation:

V=π4²×9=144π

for B

V=π3²×16=144π

Answer:

111.678

Step-by-step explanation: